Atkin-Lehner |
3- 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
7755h |
Isogeny class |
Conductor |
7755 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
20401606499175 = 34 · 52 · 118 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-507905,139280202] |
[a1,a2,a3,a4,a6] |
j |
14490094912215885663121/20401606499175 |
j-invariant |
L |
2.3203957330712 |
L(r)(E,1)/r! |
Ω |
0.58009893326781 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
124080bm4 23265n4 38775d4 85305z4 |
Quadratic twists by: -4 -3 5 -11 |